Hao Shen: Stochastic quantization of Yang-Mills, Part 1

Speaker
Hao Shen, University of Wisconsin-Madison



Abstract
In this talk we will start with a gentle introduction to the Yang-Mills model. We will then discuss the stochastic Yang-Mills flow, and our construction for a trivial bundle over 2 and 3 dimensional tori. We will also discuss the meaning of “gauge equivalence” and “orbit space” in the singular setting, and show that the flow has the gauge covariance property, yielding a Markov process on the orbit space. The talk is mostly based on joint work with Ajay Chandra, Ilya Chevyrev and Martin Hairer.